Bøger af Harold R. Parks

This engaging contribution to popular science explores hot-button topics in mathematics that up to now have been largely absent from the genre. Real-world examples and visual aids help unlock the numerical principles of topics such as wavelets and encryption.

The analysis of Euclidean space is well-developed. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain.

Key topics in the theory of real analytic functions are covered in this text,and are rather difficult to pry out of the mathematics literature.; alternative characterizations of real analytic functions, surjectivity of partial differential operators, And the Weierstrass preparation theorem.

First published in 2003, this is an accessible and thorough treatment of implicit and inverse function theorems and their applications. The book documents and places in context a substantial body of concepts that have played an role in modern mathematics.

The analysis of Euclidean space is well-developed. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain.

Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis.

Key topics in the theory of real analytic functions are covered in this text,and are rather difficult to pry out of the mathematics literature.; alternative characterizations of real analytic functions, surjectivity of partial differential operators, And the Weierstrass preparation theorem.